The lifetime, in years, of a type of small electric motor operating under adverse conditions is exponentially distributed with λ = 3.6. Whenever a motor fails, it is replaced with another of the same type. Find the probability that fewer than six motors fail within one year.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 41E
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The lifetime, in years, of a type of small electric motor operating under adverse conditions is exponentially distributed with λ = 3.6. Whenever a motor fails, it is replaced with another of the same type. Find the probability that fewer than six motors fail within one year.

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